Model Mathematics

Component: input_values

Component: state_variables

Component: parameter_values

Component: environment

Component: capillary_dynamics

Component: capillary_membrane_dynamics

Component: capillary_pressure

PC=RVS1.7BFN+PVS

Component: rate_of_fluid_out_of_capillaries

VTC=PC-PPC-PGH+PTCCFC+VTCPL

Component: plasma_volume_and_protein

Component: plasma_volume

VPD=VTL-VTC-DFP+TRPL ddtimeVP=VPD

Component: plasma_protein_concentration

CPP=PRPVP

Component: protein_destruction_and_formation

CPPD=0ifCPP-CPR<0CPP-CPRotherwise DLP=LPPR-CPPDLPDELPK

Component: plasma_leakage

PRCD=0ifPC-PCR<0PC-PCRotherwise VTCPL=PRCDCPKPCE

Component: protein_influx_into_interstitium

DPC=VTCPLCPP+CPP-CPI0.00104

Component: total_plasma_protein

DPP=DLP+DPL-DPC-PPD+TRPL72 ddtimePRP=DPP

Component: plasma_colloid_osmotic_pressure

PPC=0.28CPP+0.0019CPP2

Component: systemic_tissue_fluid_volume_and_protein

Component: total_systemic_fluid_volume

VTS=VEC-VP-VPF

Component: interstitial_fluid_volume

ddtimeVTS2=VTS-12TSSLML-VTS2TSSLTC VTS1=VTS-VTS2

Component: total_interstitial_protein

DPI=DPC-DPL ddtimeTSP=DPI

Component: interstitial_protein_concentration

CPI=TSPVTS

Component: interstitial_colloid_osmotic_pressure

PTCPR=0.28CPI+0.0019CPI2

Component: lymph_protein_flow

DPL=CPIVTL

Component: tissue_gel_and_fluid_and_lymph_flow

Component: hydrostatic_pressure_of_tissue_gel

CHY=HYLVTS5CMPTSS PGH=CHYPGHF+PTT

Component: total_osmotic_pressure_of_tissue_gel

POSHYL=CHY2 PTC=POSHYLPTCPRGCOPF

Component: total_tissue_pressure

PTT=VTS1-VTSFVTSF21

Component: interstial_free_fluid_pressure

PIF=PGH-POSHYL

Component: interstitial_solid_tissue_pressure

PTS=PTT-PIF

Component: lymph_flow

PLD1=PIF+PLDF-PTT PLD=7ifPLD1>7PLD1otherwise VTL=0ifPLD<0PLD0.02otherwise

Component: interstitial_gel_volume

VG=0ifVTS00+11.4-0VTS-012-0ifVTS>0VTS1211.4+14-11.4VTS-1215-12ifVTS>12VTS1514+16-14VTS-1518-15ifVTS>15VTS1816+17.3-16VTS-1821-18ifVTS>18VTS2117.3+18-17.3VTS-2124-21ifVTS>21VTS2418otherwise

Component: interstitial_free_fluid_volume

VIF=VTS-VG

Component: state_variables

Component: parameter_values